Pith Number

pith:5YZTWGTH

pith:2025:5YZTWGTHEM3YFZ5IYTTU7U6POP

not attested not anchored not stored refs pending

Towards Understanding Gradient Flow Dynamics of Homogeneous Neural Networks Beyond the Origin

Akshay Kumar, Jarvis Haupt

arxiv:2502.15952 v2 · 2025-02-21 · cs.LG · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YZTWGTHEM3YFZ5IYTTU7U6POP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:03:57.069949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee333b1a67233782e7a8c4e74fd3cf73cdcba000f3f3ab0d6f95c2ff77033ba6

Aliases

arxiv: 2502.15952 · arxiv_version: 2502.15952v2 · doi: 10.48550/arxiv.2502.15952 · pith_short_12: 5YZTWGTHEM3Y · pith_short_16: 5YZTWGTHEM3YFZ5I · pith_short_8: 5YZTWGTH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5YZTWGTHEM3YFZ5IYTTU7U6POP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee333b1a67233782e7a8c4e74fd3cf73cdcba000f3f3ab0d6f95c2ff77033ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9d36a98ac406a90697cb37e102015dc94aaf0e89a5ecfafe696eeceeeddc33",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-02-21T21:32:31Z",
    "title_canon_sha256": "3dfadf95f963f7670c7b123ae4d21ddd345bae20e753e6f4e81fda4ca0af41fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.15952",
    "kind": "arxiv",
    "version": 2
  }
}